Question:

The area enclosed by the pair of lines xy=0xy = 0 , the line x4=0x - 4 = 0 and y+5=0y + 5 = 0 is

Updated On: May 19, 2024
  • 1010 s units.
  • 2020 s units
  • 00 s units.
  • 54\frac {5}{4} s units.
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The Correct Option is B

Solution and Explanation

Given, pair of lines
xy=0,x4=0xy = 0, x - 4 = 0
x=4\Rightarrow x = 4
and y+5=0y + 5 = 0.
The figure is a rectangle.

In which length is 5 unit and breadth is 4 unit
So, area =4×5=20= 4 \times 5 = 20 sq unit
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  • A horizontal line is a sleeping line that means "side-to-side".
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x is the respective coordinates of any point lying on the line, this represents that the equation is not dependent on y. 

Horizontal lines and vertical lines are perpendicular to each other.